If is a zero of the polynomial function, then is a factor of for the polynomial function.

If is the degree of the polynomial function, then raise the factor to the power.

No real zeros.

Degree of the polynomial function is .

Since there is no real zeros, let is a factor of the polynomial function, because has no real zeros.

Since the degree of the polynomial function is , raise to the third power.

Thus, the polynomial function is .

The polynomial function is  .